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No, not all distributions are symmetrical, and not all distributions have a single peak.

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Q: Normal distribution is symmetric with single peak.Does this mean that all distibutions are normal?
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Does this means that all symmetric distribution are normal Explain?

Don't know what "this" is, but all symmetric distributions are not normal. There are many distributions, discrete and continuous that are not normal. The uniform or binomial distributions are examples of discrete symmetric distibutions that are not normal. The uniform and the beta distribution with equal parameters are examples of a continuous distribution that is not normal. The uniform distribution can be discrete or continuous.


Can a normal distribution curve be symmetric or left-skewed or right-skewed?

Symmetric


What is symmetrical normal distribution?

The Normal distribution is, by definition, symmetric. There is no other kind of Normal distribution, so the adjective is not used.


Does this means that all symmetric distribution are normal?

24


Normal distribution is symmetric about mean or median or mode?

Mean


How the symmetric distribution is always normal?

The statement is false. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.


Is symmetrical a characteristic of a normal distribution?

The Normal ditribution is symmetric but so are other distributions.


Are all symmetric distribution are normal?

No. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.


What type of probability distribution is the normal distribution?

It is a continuous parametric distribution belonging to the family of exponential distributions. It is also symmetric.


What is the important similarity between the uniform and normal probability distribution?

They are both continuous, symmetric distribution functions.


Is a normal distribution always symmetrical?

yes, it's always symmetric


List of common symmetric distributions?

A small partial list includes: -normal (or Gaussian) distribution -binomial distribution -Cauchy distribution